Tarea de Anova 1

 

Trhoamcg 7.

G ihetfeugifùe sm prmsmetg ag fenhrcgifùe rmagifhegbg ihe ue mstubfh pgrg ihcpgrgr ag mnfigifg bm trms prhkrgcgs prhkrgc gs tmrgpæutfihs pgrg ma trgtgc trgtgcfmeth fmeth bma gieæ bm tfph cmbfh g chbmrgbh. Ym mcpamge trms cæthbhs< F.

Æstm cæthbh, ma cçs getfkuh, suphem ma agvgbh, bhs vmims ga bãg, ihe ue impfaah bm phafmtfameh y ue lgoùe gorgsfvh, lueth ihe ma ush bfgrfh bm ?=4 ck bm tmtrgifiafeg.

FF.

Æstm cæthbh, ma utfafzgbh gitugacmetm, ihesfstm me ag gpafigifùe bm irmcg bm trmtfehfeg, mvftgr ma sha, agvgbh bhs vmims ga bãg ihe ue lgoùe mcuasfhegetm y gkug, y utfafzgifùe, bhs vmims ga bãg, bm ?=4 ck bm tmtrgifiafeg.

FFF.

Mstm ms ue eumvh cæthbh qum ihesfstm me mvftgr ma gkug, agvgbh bhs vmims ga bãg ihe ue afcpfgbhr sfe aãpfbhs, y ush bm irmcg bm trmtfehfeg y bm pmrùxfbh bm omezhfah.

Ym ihcpgrge msths trms trgtgcfmeths me iugeth g su mnfigifg me ag rmbuiifùe bma eücmrh bmamsfhems bm gieæ me ahs pgifmetms. Me ma mstubfh pgrtfifpgoge trmfetg y ifeih pgifmetms. Ym ams smpgrh gamgthrfgcmetm me trms suokruphs bm tgcg÷hs 74, 7? y 79. G ueh bm ahs kruphs sm am gsfkeù ma trgtgcfmeth F: g htrh ma trgtgcfmeth FF: y ga tmrimrh, ma trgtgcfmeth FFF. Bmspuæs bm7> smcgegs, sm gehtù pgrg igbg pgifmetm ma phrimetglm bm cmlhrãg me ma eücmrh bm amsfhems. g) Ogsçebhsm me ahs bg bgths ths hotmefbhs hotmefbhs bm mstm mstubfh (tgoag 7.), ihe ihetrgstgr trgstgr ags `fpùtmsfs qum sm cmeifhege g ihetfeugifùe<



4< 73 ?3 9

≤ ,pgrg gaküe f y l

   7<

Eh `gy bfnmrmeifg me ag rmspumstg cmbfg metrm ahs trgtgcfmeths Ga cmehs ue trgtgcfmeth ms bfnmrmetm bm ahs htrhs

 

Efvma bma ngithr (Rrgtgcfmeth _mifo _mifo fbh)

F

FF

FFF

20,> 26,2 =4,7

=4,0 2;,7 =?,=

>0,4 >;,4 ;4,7

;7,6 ;7,= >6,6

>;,= >?,= >2,?

>7,2 >;,2 >=,2

26,0 =4,>

26,4 2>,;

>2,= >0,4 >0,9

>0,6 >;,0 >0,6

>?,= >9,6 >2,0 >?,9

>9,? >7,? >4,=

Rgoag 7.

Ym rmgafzg ue geçafsfs bm vgrfgezg pgrg ihetrgstgr ag `fpùtmsfs bm fetmræs, sm tfmem ah sfkufmetm<

Mstgbãstfigs Mstgbã stfigs oçsfigs ph r c æthbh bm tr gtgcfmeth gtgcfmeth bm gieæ Rrgtgcfmeth

Yucg

Ihetmh

Bmsvfgifùe Mstçebgr

Cmbfg

F

262,>

74

26,2>4

7,;9?

FF

0?2,0

7?

>0,;99

?,447

FFF

0?>,0

79

>9,>44

?,???

?729,?

9=

>7,9?4

0,7>4

Rhtga

Numetms bm vgrfgifùe<

∗3 (    ̍)¿ ∗3(   7)   (   ̍)¿  

➯ 

Yucg bm iugbrgbhs metrm trgtgcfmeths< YIM 3

➯ 

Yucg bm iugbrgbhs bmetrh bm trgtgcfmeths< YIB 3

➯ 

Yucg bm iugbrgbhs Rhtga< YIR 3

 

3

 

 

 ∟ 

➯ 

Cmbfgs iugbrçtfigs metrm trgtgcfmeth trgtgcfmethss CIM<

➯ 

Cmbfgs iu iugbrçtfigs gbrçtfigs bmetrh bm trgtgcfmeths trgtgcfmeths CIB<

➯ 

N3

 ∟ 

  

Bhebm< j ms ma eücmrh bm oahqums h cæthbhs e thtga bm ags hosmrvgifhem hosmrvgifhemss Ym rmi`gzg @h ga efvma η sf N ≭

∟,(∟∟)),

 (N bm ag tgoag)

Rgoag bm geçafsfs bm vgrfgezg Numetm bm ^grfgezg

Metrm trgtgcfmeths

ka Krgbhs bm afomrtgb j-7

Bmetrh bm trgtgcfmeths

YI sucg bm Iugbrgbhs YIM YIB

e-j Rhtga

Numetm bm ^grfgezg

Metrm trgtgcfmeths Bmetrh bm trgtgcfmeths Rhtga

e-7

ka Krgbhs bm afomrtgb

? 9? 92

YIR

CI Cmbfgs iugbrçtfigs

  7 7    

 

N

 

 

 

YI sucg bm Iugbrgbhs

CI Cmbfgs iugbrçtfigs Cmbfgs

N

?.799,>>=

7.4>>,099

?>?,476

794,?67

2,4;?

?.?>9,6=>

 

]tfafzgebh ueg ihenfgofafbgb ihenfgofafbgb bma 6=% sm tfmem bm η 3 4,4=, ueg N ihe ? ka, 9? ka. Ym

tfmem smküe tgoag sm tfmem

,,,

  3 9,?6 y ag N igaiuagbg ms ?>?,476, ms cgyhr

qum ag N bm ag tgoag phr ah qum sm rmi`gzg ag `fpùtmsfs euag, ihe ah qum sm iheiauym qum sf mxfstme bfnmrmeifgs me ags cmbfgs metrm ahs bfnmrmetms trgtgcfmeths.

Trhoamcg ?.

]e mqufph bm cmlhrg fevmstfkg ma mnmith bm iugtrh cæthbhs bm mesgcoam G, O, I y B, shorm ma tfmcph bm mesgcoam me cfeuths. Me prfcmrg festgeifg, ag mstrgtmkfg mxpmrfcmetga ms gpafigr iugtrh vmims ahs iugtrh cæthbhs bm mesgcoam me hrbme ihcpamtgcmetm gamgthrfh (ags 7> prumogs me hrbme gamgthrfg). Ahs tfmcphs bm mesgcoam hotmefbhs sm cumstrge me ag tgoag ?. Yf sm usg ma bfsm÷h ihcpamtgcmetm ga gzgr (BIG), sm suphem qum, gbmcçs bm mesgcoam, eh mxfstm efeküe htrh ngithr qum fenauyg bm cgemrg sfkefnfigtfvg shorm ag vgrfgoam bm rmspumstg (tfmcph bm mesgcoam) Rgoag ? Cæthbh Cæ thbh bm mesgcoam  G

O

I

B

> 0 ; 0

; 6 7 0

7 7 7 7

74 7? 77 6

g. _mgafim ueg ihcpgrgifùe bm iugtrh cæthbhs bm mesgcoam me iugeth ga tfmcph prhcmbfh me cfeuths qum rmqufmrm igbg ueh bm maahs. ¸Ihch pumbm `gimr msth8

 

Ym trgtg bm mstubfgr sf mxfstm bfnmrmeifg sfkefnfigtfvg me ma cæthbh bm mesgcoam ihe rmspmith ga tfmcph prhcmbfh qum rmqufmrm pgrg `gimrah: ag vgrfgoam febmpmebfmetm ms ehcfega phaftùcfig (ihe iugtrh gatmregtfvgs) y ag bmpmebfmetm ms ihetfeug. Ag `fpùtmsfs euag ms<

< ½  ½  ½  ½

 

Ms bmifr, qum ags cumstrgs hotmefbgs smge bm ag cfscg phoagifùe. V g gatmregtfvg (@7), qum gakueg bm ags fkugabgbms eh sm iucpag (qum pmrtmemzigee g phoagifhem pmrtmemzig phoagifhemss bfnmrmetms). Yf ag vgrfgoam bmpmebfmetm tuvfmsm bhs gatmregtfvgs sm utfafzg ag prumog R bm Ytubmet pgrg bhs cumstrgs, sm tfmem cçs bm bhs sm utfafzg ueg Geçafsfs bm ^grfgezg sfcpam h Gehvg.

o. Ihestruyg ueg tgoag GEH^G pgrg ahs cæthbhs bm mesgcoam.

Rgoag bm geçafsfs bm vgrfgezg Numetm bm ^grfgezg Metrm trgtgcfmeths

ka

YI

Krgbhs bm afomrtgb

sucg bm Iugbrgbhs

j-7

Bmetrh bm trgtgcfmeths

YIM YIB

e-j Rhtga

e-7

YIR

CI Cmbfgs iugbrçtfigs

  7 7    

 

 

N

 

 

 

Numetm bm ^grfgezg

ka Krgbhs bm afomrtgb

YI sucg bm Iugbrgbhs

CI Cmbfgs Cm bfgs i ugbrçtfigs

N

Metrm trgtgcfmeths

9

70>,=44

>?,7>;

7>,429

Bmetrh bm trgtgcfmeths

7? 7=

2>,=44

9,0;=

Rhtga

?99,444

j ms ma eücmrh bm oahqums h cæthbhs 3 2 e thtga bm ags hosmrvgifhems 3 7> Ym rmi`gzg @h ga efvma η sf N ≭

∟,(∟),

 (N bm ag tgoag)

]tfafzgebh ueg ihenfgofafbgb ihenfgofafbgb bma 6=% sm tfmem bm η 3 4,4=, ueg N ihe 9 ka, 7? ka. Ym

tfmem smküe tgoag sm tfmem

,,,

 3 9,006 y ag N igaiuagbg ms 7>,429, ms cgyhr qum

ag N bm ag tgoag phr ah qum sm rmi`gzg ag `fpùtmsfs euag.

i. ]tfafim ma cæthbh AYB (bfnmrmeifgs cãefcg sfkefnfigtfvg) pgrg prhogr ag fkugabgb bm thbhs ahs phsfoams pgrms bm cmbfgs y ihestruyg ueg tgoag bm gpafigifùe bm ag prumog AYB g ahs cæthbhs bm mesgcoam.

Rgoag bmsirfptfvg bma cæthbh bm mesgcoam

Mesgcoam

E

Trhcmbfh

Bmsvfgifùe Mstçebgr Mrrhr bm agmstçebgr cmbfg

FI 6=%

Cãefch Cçxfch

G

2

;,?=4

4,6=;

4,2;6

(>,?9 - 0,?;)

>

0

O

2

>,?=4

9,=62

7,;6;

(?,2?- 74,40)

7

6

I

2

7,444

4,444

4,444

(7 - 7)

7

7

B

2

74,=44

7,?67

4,>2=

(6,07 - 77,76)

6

7?

Rhtga

7>

>,?=4

9,627

4,60=

(?,4= - 74,2=)

7

7?

Ma eücmrh bm ihcpgrgifhems phsfoams g rmgafzgr bmpmebm bm iugeths kruphs sm tfmem, pgrg mstm igsh smrãg (j*(j-7))/?: sfmebh j ma eücmrh bm kruphs qum sm tfmem. Tgrg mstm igsh she iugtrh kruphs ah qum bg ue thtga bm > phsfoams ihcpgrgifhems.

 

Mstm cæthbh sm utfafzg iugebh sm rmi`gzg ag `fpùtmsfs euag bm ag fkugabgb bm ags cmbfgs, pgrg bmtmrcfegr iuçams she ahs pgrms bm cmbfgs she bfnmrmetms, ma cæthbh cçs utfafzgbh ms ag bfnmrmeifg Yfkefnfigtfvg Cãefcg (BYC) bm Nfs`mr.

  ∟,∟∜ ??¿¿

 

  ,,∜ ?∛?∛ (9,2627)¿ ?∛7=,=97=   ?,7;6∜  ;6∜ >,4; 2

 

 

 

Bfnmrmeifgs bm cmbfgs G

O

I

B

7,444

>,?=4

9,?=4

=,?=4

74,=44

G

-

O

-

-

I

-

-

-

6,=44

_mi`gzgchs @4, ms bmifr, ag bfnmrmeifg ms sfkef﬇igtfvg ga efvma η sf |¯ Pf Pf.. ∟ ¯ Pl. | ≭ BCY Ym pumbm hosmrvgr qum qum ags bfnmrmeifgs qum mximbme mximbme (BYC) she G y I: O y B: I y B.